λ
Prime Ledger

4,732,365

3 × 5 × 11 × 23 × 29 × 43
Deficient Odd Composite

4,732,365 has the prime decomposition 3 × 5 × 11 × 23 × 29 × 43. Its 6 distinct prime factors produce 64 positive divisors.

Prime Factor Structure

Factorization String 3 × 5 × 11 × 23 × 29 × 43
Distinct Prime Factors 6
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 9,123,840
Proper Divisor Sum 4,391,475
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #4732361 ← → #4732369

Radix Representation

Decimal 4732365
Binary 10010000011010111001101 (23 bits)
Octal 0o22032715
Hexadecimal 0x4835CD

Divisor Catalog (60 of 64)

1 3 5 11 15 23 29 33 43 55 69 87 115 129 145 165 215 253 319 345 435 473 645 667 759 957 989 1,247 1,265 1,419 1,595 2,001 2,365 2,967 3,335 3,741 3,795 4,785 4,945 6,235 7,095 7,337 10,005 10,879 13,717 14,835 18,705 22,011 28,681 32,637 36,685 41,151 54,395 68,585 86,043 110,055 143,405 163,185 205,755 315,491

Collatz Trajectory (100 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

4,732,365 14,197,096 7,098,548 3,549,274 1,774,637 5,323,912 2,661,956 1,330,978 665,489 1,996,468 998,234 499,117 1,497,352 748,676 374,338 187,169 561,508 280,754 140,377 421,132 210,566 105,283 315,850 157,925 473,776 236,888 118,444 59,222 29,611 88,834 44,417 133,252 66,626 33,313 99,940 49,970 24,985 74,956 37,478 18,739 56,218 28,109 84,328 42,164 21,082 10,541 31,624 15,812 7,906 3,953 11,860 5,930 2,965 8,896 4,448 2,224 1,112 556 278 139

More profiles

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